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Finding the Fourth Proportional to 8,377.71, 12,566.49 and 2,534.32

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Solution

The fourth proportional to 8,377.71, 12,566.49 and 2,534.32 is: 3,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.71 : 12,566.49 = 2,534.32 : x
  2. Step 2: Convert to fraction form
    8,377.71/12,566.49 = 2,534.32/x
  3. Step 3: Cross multiply
    8,377.71x = 12,566.49 × 2,534.32
  4. Step 4: Simplify right side
    8,377.71x = 31,847,506.94
  5. Step 5: Solve for x
    x = 31,847,506.94/8,377.71
  6. Step 6: Final answer
    x = 3,801.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.